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Finding the Fourth Proportional to 196,064, 294,096 and 48,320

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Solution

The fourth proportional to 196,064, 294,096 and 48,320 is: 72,480

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,064 : 294,096 = 48,320 : x
  2. Step 2: Convert to fraction form
    196,064/294,096 = 48,320/x
  3. Step 3: Cross multiply
    196,064x = 294,096 × 48,320
  4. Step 4: Simplify right side
    196,064x = 14,210,718,720
  5. Step 5: Solve for x
    x = 14,210,718,720/196,064
  6. Step 6: Final answer
    x = 72,480

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.